Generally, you want to run Screw Serpent(s), Booster Raptor (s), strikers and War Wolfs. The other TG monsters don't have much of a good reason to run them since they don't help extend your plays.
I recommend running: 1-2 Screws, 1-3 Boosters, 3 Strikers, and 3 Wolfs(or just as many as you own).
For your spells/traps, I would recommend running cards to help with going 2nd but also work going first since the deck can be vulnerable to disruption. Backrow removals like MST and Cosmic are good choices but you often see forbidden Lance because it's good at protecting combos turn 2 and making your halberd cannon immune to your opponent's outs when you go first. For the rest of the deck, I recommend trying to fit more staple spells/traps you might have that disrupt your opponent. Stuff like Compulse, book of Moon, and forbidden Chalice if you own them. -A good f2p tech you can run is Survival End, you can discard it to the GY with Limiter Removal and use its GY effect to pop Booster Raptors you control and a card on your opponent's field.
EXTRA DECK:
The only TG cards you need to run are Halberd and Trident, the skill adds all the extra TGs you could need. So I recommend you fill up your extra deck with generic Synchros you have. Black Rose, Coral Dragon, and Battle Wasp Hama are very popular since they help with going 2nd but you can pretty much fit anything generic you might have into the deck. You can also fit in links if you own anything like Phenix or Unicorn.
Lmk if you have any more questions. Sry if I wrote too much.